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Finding the Fourth Proportional to 6,864.14, 9,472.66 and 4,209.98

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Solution

The fourth proportional to 6,864.14, 9,472.66 and 4,209.98 is: 5,809.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.14 : 9,472.66 = 4,209.98 : x
  2. Step 2: Convert to fraction form
    6,864.14/9,472.66 = 4,209.98/x
  3. Step 3: Cross multiply
    6,864.14x = 9,472.66 × 4,209.98
  4. Step 4: Simplify right side
    6,864.14x = 39,879,651.26
  5. Step 5: Solve for x
    x = 39,879,651.26/6,864.14
  6. Step 6: Final answer
    x = 5,809.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.